Hard thermal loops, static response, and the composite effective action
- Center for Theoretical Physics, Laboratory for Nuclear Science, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
First, we investigate the static non-Abelian Kubo equation. We prove that it does not possess finite energy solutions; thereby we establish that gauge theories do not support hard thermal solitons. This general result is verified by a numerical solution of the equations. A similar argument shows that static'' instantons are absent. In addition, we note that the static equations reproduce the expected screening of the non-Abelian electric field by a gauge-invariant Debye mass [ital m]=[ital gT] [radical]([ital N]+[ital N][sub [ital F]]/2)/3 . Second, we derive the non-Abelian Kubo equation from the composite effective action. This is achieved by showing that the requirement of stationarity of the composite effective action is equivalent, within a kinematical approximation scheme, to the condition of gauge invariance for the generating functional of hard thermal loops.
- DOE Contract Number:
- AC02-76ER03069
- OSTI ID:
- 7239083
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 49:12; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
KUBO FORMULA
COMPOSITE MODELS
ACTION INTEGRAL
ELECTRIC FIELDS
GAUGE INVARIANCE
INSTANTONS
NUMERICAL SOLUTION
SOLITONS
INTEGRALS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
QUASI PARTICLES
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